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Algebraic Methods

In the polynomial f(x)=3x3−2x+5f(x) = 3x^3 - 2x + 5f(x)=3x3−2x+5, what is the coefficient of x3x^3x3?

A
  • (−3)2(-3)^2(−3)2 becomes positive (9)
  • (−3)3(-3)^3(−3)3 stays negative (-27)
B

If a quadratic ax2+bx+cax^2 + bx + cax2+bx+c has no real roots, its discriminant b2−4ac\boxed{b^2 - 4ac}b2−4ac​ must be <0< 0<0.

C

3

D

In algebraic proofs, an even integer is written as 2n2n2n and an odd integer as 2n+1\boxed{2n + 1}2n+1​.

Algebraic Methods Flashcards

  1. A Level
  2. /Maths
  3. /Algebraic Methods

Flashcards for Edexcel A Level Maths Algebraic Methods, covering the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3. 23 cards drawn from 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof, matched to the Edexcel A Level Maths (9MA0) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.

Flashcards